Prikladnaya Mekhanika i Tekhnicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Prikl. Mekh. Tekh. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 1, Pages 57–68 (Mi pmtf1218)  

Effect of turbulent viscosity on the formation and motion of bottom waves

A. G. Petrova, I. I. Potapovb

a Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
b Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, 680000, Russia
Abstract: The problem of linear perturbations of the sandy bottom in a rectangular channel with a heavy incompressible fluid is formulated. The turbulent viscosity of the flow is defined as a drag coefficient function, and the hydrodynamic equations are written in the long-wave Boussinesq approximation. In the expression for the hydrostatic pressure, a correction is applied to the Boussinesq approximation that changes the sediment discharge. The problem of the development of bottom perturbations is solved taking into account the modified formula of sediment discharge, resulting in analytical expressions for the velocity of bottom perturbations and the wavelength of the fastest-growing bottom perturbations at small Froude numbers.
Keywords: bottom perturbations, turbulent fluid flow, sediment transport.
Received: 11.11.2011
Revised: 05.05.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 1, Pages 49–58
DOI: https://doi.org/10.1134/S0021894413010069
Bibliographic databases:
Document Type: Article
UDC: 532.545
Language: Russian
Citation: A. G. Petrov, I. I. Potapov, “Effect of turbulent viscosity on the formation and motion of bottom waves”, Prikl. Mekh. Tekh. Fiz., 54:1 (2013), 57–68; J. Appl. Mech. Tech. Phys., 54:1 (2013), 49–58
Citation in format AMSBIB
\Bibitem{PetPot13}
\by A.~G.~Petrov, I.~I.~Potapov
\paper Effect of turbulent viscosity on the formation and motion of bottom waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 1
\pages 57--68
\mathnet{http://mi.mathnet.ru/pmtf1218}
\elib{https://elibrary.ru/item.asp?id=24115853}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 1
\pages 49--58
\crossref{https://doi.org/10.1134/S0021894413010069}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1218
  • https://www.mathnet.ru/eng/pmtf/v54/i1/p57
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
    Statistics & downloads:
    Abstract page:32
    Full-text PDF :15
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024